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0=-16t^2-20+36
We move all terms to the left:
0-(-16t^2-20+36)=0
We add all the numbers together, and all the variables
-(-16t^2-20+36)=0
We get rid of parentheses
16t^2+20-36=0
We add all the numbers together, and all the variables
16t^2-16=0
a = 16; b = 0; c = -16;
Δ = b2-4ac
Δ = 02-4·16·(-16)
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{1024}=32$$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-32}{2*16}=\frac{-32}{32} =-1 $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+32}{2*16}=\frac{32}{32} =1 $
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